Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bl |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
13361447870226 = 2 · 35 · 177 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 5 3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68499,-6903873] |
[a1,a2,a3,a4,a6] |
Generators |
[-9804:6219:64] |
Generators of the group modulo torsion |
j |
1472594839633/553554 |
j-invariant |
L |
16.822437194584 |
L(r)(E,1)/r! |
Ω |
0.2951129458595 |
Real period |
R |
5.7003386376061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999507665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834r1 |
Quadratic twists by: 17 |